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Answer: (D) 147
Explanation
The sum of the digits of the number 147 is 1 + 4 + 7 = 12, while the sum of the digits for each of the other numbers is 16.
Questions from every shift of the year, grouped by section. Questions 51–100 of 1,549, each with the correct answer and a step-by-step explanation.
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Answer: (D) 147
Explanation
The sum of the digits of the number 147 is 1 + 4 + 7 = 12, while the sum of the digits for each of the other numbers is 16.
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Answer: (C) 55
Explanation
The difference between the two digits of each number in the other options is 1, representing consecutive integers where the units digit is exactly 1 greater than the tens digit: In 45, 5 - 4 = 1 In 56, 6 - 5 = 1 In 78, 8 - 7 = 1
For 55, the digits are identical and the difference between them is 0, making it the odd one out.
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Answer: (B) QRN
Explanation
The series is formed by applying distinct patterns to each letter position.
For the first letter, the position increases by 1 in alphabetical order: M (13) + 1 = N (14) N (14) + 1 = O (15) O (15) + 1 = P (16) P (16) + 1 = Q (17)
For the second letter, the position increases by consecutive integers: H (8) + 1 = I (9) I (9) + 2 = K (11) K (11) + 3 = N (14) N (14) + 4 = R (18)
For the third letter, the position decreases by 3: Z (26) - 3 = W (23) W (23) - 3 = T (20) T (20) - 3 = Q (17) Q (17) - 3 = N (14)
Combining these letters results in QRN.
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Answer: (A) UXW
Explanation
The series follows a pattern where each corresponding letter in successive terms increases by 6 positions in alphabetical order.
For the first letter, the sequence is C, I, O. Their alphabetical positions are 3, 9, and 15 respectively. Adding 6 to 15 gives 21, which corresponds to U.
For the second letter, the sequence is F, L, R. Their alphabetical positions are 6, 12, and 18 respectively. Adding 6 to 18 gives 24, which corresponds to X.
For the third letter, the sequence is E, K, Q. Their alphabetical positions are 5, 11, and 17 respectively. Adding 6 to 17 gives 23, which corresponds to W.
Combining these letters yields UXW.
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Answer: (C) Rabindranath Tagore
Explanation
The analogy represents the relationship between a literary work and its author. Just as the novel A Suitable Boy was written by the Indian author Vikram Seth, the famous collection of poems titled Gitanjali was written by the Nobel laureate Rabindranath Tagore.
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Answer: (D) WSA
Explanation
The relationship in the first pair is established by rearranging the letters of the word ASK. Assigning positions to the letters of ASK as 1, 2, and 3 respectively (A=1, S=2, K=3), the letters are rearranged in the pattern 3-1-2 to form the word KAS (K=3, A=1, S=2).
Applying the same pattern of rearrangement (3-1-2) to the word SAW where S=1, A=2, and W=3, the 3rd letter W is placed first, followed by the 1st letter S in the second position, and the 2nd letter A in the third position. This yields the letters WSA.
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Answer: (A) METSYS
Explanation
The first pair of words demonstrates a reversal pattern, where the second word is obtained by reversing the letter order of the first word. Because MALAYALAM is a palindrome, reversing its letters results in the exact same spelling, MALAYALAM. Following the same logic, reversing the letters of SYSTEM from right to left gives METSYS.
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Answer: (A) 9
Explanation
The relationship between the numbers in each pair is division by 12.
For the first pair: 36 ÷ 12 = 3
For the second pair: 108 ÷ 12 = 9
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Answer: (C) Monkey
Explanation
Monkey belongs to the class Mammalia (mammals), which consists of warm-blooded vertebrates characterized by the presence of mammary glands, hair or fur, and giving birth to live young. The other three options belong to the class Aves (birds), making the monkey the only mammal in the group.
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Answer: (B) END
Explanation
The group of letters END contains only one vowel (E) and two consonants (N and D), whereas the other letter groups each contain exactly two vowels and one consonant.
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Answer: (C) 39
Explanation
The number 39 is a composite number because it has factors other than 1 and itself, specifically 3 and 13 (3 × 13 = 39), whereas the other numbers in the selection are prime numbers.
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Answer: (B) 327
Explanation
The number 327 is the odd one out because it does not follow the mathematical pattern where the product of the first two digits equals the third digit. For 327, the product of the first two digits is 3 × 2 = 6, which is not equal to the third digit, 7. In all the other numbers, the third digit is strictly the product of the first two digits.
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Answer: (C) Mars
Explanation
The given series lists the planets of our solar system in sequential order based on their increasing distance from the Sun. Mercury is the closest planet to the Sun, Venus is the second, and Earth is the third. Following this established sequence, the fourth planet from the Sun is Mars.
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Answer: (B) 84
Explanation
The given series is 14, 22, 33, 47, 64, ?
The difference between successive terms increases by a constant value of 3 in each step:
22 - 14 = 8
33 - 22 = 11
47 - 33 = 14
64 - 47 = 17
Following this pattern, the next difference should be 17 + 3 = 20.
Adding 20 to the last term of the series gives the missing term: 64 + 20 = 84.
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Answer: (B) XAD
Explanation
The letters in each term of the series increase by 4 positions in alphabetical order to form the corresponding letters of the next term.
In the first position, the letters are L, P, and T. Adding 4 positions to each letter: L (12) + 4 = P (16), P (16) + 4 = T (20), and T (20) + 4 = X (24).
In the second position, the letters are O, S, and W. Adding 4 positions to each letter: O (15) + 4 = S (19), S (19) + 4 = W (23), and W (23) + 4 = A (27, wrapping around to 1).
In the third position, the letters are R, V, and Z. Adding 4 positions to each letter: R (18) + 4 = V (22), V (22) + 4 = Z (26), and Z (26) + 4 = D (30, wrapping around to 4).
Combining these results, the next term in the sequence is XAD.
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Answer: (B) WXY
Explanation
The series follows a pattern where each term consists of three consecutive letters, and the starting letters of consecutive terms increase by increasing intervals.
The first letter of the first term is B (2nd alphabet). The first letter of the second term is H (8th alphabet), which is 2 + 6. The first letter of the third term is O (15th alphabet), which is 8 + 7. Following this pattern, the first letter of the missing term must be 15 + 8 = 23, which corresponds to W.
Since each term consists of three consecutive alphabets, the term starting with W is WXY.
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Answer: (A) 70
Explanation
The given sequence is an arithmetic progression where each subsequent term is obtained by adding a constant difference of 14 to the preceding term.
The common difference between consecutive terms is calculated as: 42 - 28 = 14 56 - 42 = 14
Using the formula for the next term: Next term = Previous term + Common difference Next term = 56 + 14 = 70
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Answer: (C) Neither I nor II follow
Explanation
Conclusion I does not follow because the statements only provide specific statistics about the area covered and the lag in rice plantation, without establishing any general definition or causal link between sowing potential utilization and what is considered a delay.
Conclusion II does not follow because the given statements merely state current quantitative facts regarding seasonal crop sowing. They do not contain any premise or information from which a general principle about cultivation being based on timings can be logically deduced.
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Answer: (D) Second to the left
Explanation
Let the seven positions of the people facing south be numbered 1 to 7 from left to right from the reader's perspective. Since the people are facing south, their right direction corresponds to the reader's left (lower numbers) and their left direction corresponds to the reader's right (higher numbers).
The middle position is 4.
B is second to the right of the person in the middle. This means B is at position 4 - 2 = 2.
C is third to the left of B. This means C is at position 2 + 3 = 5.
A is to the immediate left of C. This means A is at position 5 + 1 = 6.
With respect to the middle person at position 4, A is at position 6, which is two positions to the reader's right. For a person facing south, this corresponds to being second to the left.
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Answer: (A) i, iv, ii, iii
Explanation
To arrange the words in alphabetical order as they appear in a dictionary, we compare them letter by letter from left to right.
Comparing the first three letters of the words: Addition begins with Add. Adhesive begins with Adh. Astonishing begins with Ast. Adhere begins with Adh.
Since d comes before h and s, Addition (i) comes first.
Next, we compare the words starting with Adh, which are Adhere (iv) and Adhesive (ii). Comparing these two letter by letter, the first five letters Adher are common. The sixth letter of Adhere is e, and the sixth letter of Adhesive is s. Since e comes before s, Adhere (iv) precedes Adhesive (ii).
Finally, Astonishing (iii) starts with As, where s comes after d, making it the last word in the sequence.
Therefore, the correct alphabetical sequence of the given words is Addition (i), Adhere (iv), Adhesive (ii), and Astonishing (iii).
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Answer: (C) 291598
Explanation
In this code language, each letter is represented by a specific digit. By comparing the words and their corresponding codes, the direct mapping for each letter can be identified:
From DOMAIN coded as 563471: D = 5 O = 6 M = 3 A = 4 I = 7 N = 1
From TRED (originally TIRED) coded as 27895 (where 7 represents the omitted letter I): T = 2 R = 8 E = 9 D = 5
Using these mapped values for the word TENDER: T = 2 E = 9 N = 1 D = 5 E = 9 R = 8
Combining these digits in order gives the code 291598.
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Answer: (B) 729
Explanation
The numbers in each column follow a specific mathematical relationship where the number in the third row is the sum of the cube roots of the numbers in the first and second rows.
In the first column: ∛27 + ∛64 = 3 + 4 = 7
In the second column: ∛125 + ∛216 = 5 + 6 = 11
Applying the same logic to the third column: ∛343 + ∛? = 16 7 + ∛? = 16 ∛? = 16 - 7 ∛? = 9 ? = 9³ = 729
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Answer: (B) 110
Explanation
According to the given operations, we substitute the signs as follows: Replace × with ÷ Replace ÷ with × Replace + with - Replace - with +
This transforms the given expression into: 357 ÷ 7 × 3 - 53 + 10
Applying the BODMAS rule, we first perform the division: 357 ÷ 7 = 51
Next, we perform the multiplication: 51 × 3 = 153
Lastly, we solve the addition and subtraction: 153 - 53 + 10 = 110
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Answer: (B) qpqrpq
Explanation
Substituting the letters from option B (qpqrpq) into the gaps of the series gives:
p q r p p q q r r p p q
This sequence forms a clear, logical pattern where the letters p, q, and r repeat with increasing frequency:
The first group is pqr, where each letter appears once. The second group is ppqqrr, where each letter appears twice. The third group begins with ppq, which is the start of pppqqqrrr, where each letter would appear thrice.
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Answer: (B) Conclusion I and II both follow
Explanation
Conclusion I directly follows from Statement II, which states that 10% of customers are lost due to out of stock products. When customers cannot find their specific requirements, such as sizes or colors, because they are out of stock, they leave without purchasing, resulting in a loss of customers.
Conclusion II directly follows from Statement I, which states that retail shops want to retain potential buyers. Retaining potential buyers means that retailers want to ensure the people who visit the store (the footfall) are successfully converted into actual buyers making purchases.
Both conclusions are logical extensions of the provided statements.
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Answer: (B) 16 km
Explanation
Let the initial position of the man be at point O.
Since the man is facing West, turning to his right means facing North. He walks 10 km North to reach point A.
From point A, he turns left, which is West, and walks 6 km to reach point B.
From point B, turning 90° clockwise means facing North. He walks 6 km North to reach point C.
From point C, he walks 6 km East to reach his final position D.
The horizontal movement consists of 6 km West followed by 6 km East, which cancels out to 0 km. The vertical movement consists of 10 km North followed by 6 km North, which sums up to 16 km North.
Therefore, the straight-line distance between his initial position O and his final position D is 16 km.
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Answer: (B) 21, 68, 24, 85, 55, 22
Explanation
The coordinates for each letter in the word SONNET are determined by taking its row number followed by its column number from the respective matrices.
The first letter S is located at row 2 and column 1 of Matrix-I, which is represented by 21.
The second letter O is located at row 6 and column 8 of Matrix-II, which is represented by 68.
The third letter N is located at row 2 and column 4 of Matrix-I, which is represented by 24.
The fourth letter N is located at row 8 and column 5 of Matrix-II, which is represented by 85.
The fifth letter E is located at row 5 and column 5 of Matrix-II, which is represented by 55.
The sixth letter T is located at row 2 and column 2 of Matrix-I, which is represented by 22.
The combined representation for the word SONNET is 21, 68, 24, 85, 55, 22.
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Answer: (A) Brother-in-law
Explanation
The sister's father of the person is the person's father. Since this father is the uncle of the man's wife, the person and the man's wife are first cousins. A male cousin of a person's wife is related to that person as a brother-in-law.
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Answer: (D) Night
Explanation
The given series represents the chronological progression of different periods within a single 24-hour day. A typical day begins with the morning, progresses into the afternoon, transitions into the evening, and concludes with the night.
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Answer: (D) A and X
Explanation
First, determine the orientation and layout of the two rows. The row with A, B, and C faces South, meaning their right is to our left, and their left is to our right. The row with X, Y, and Z faces North, meaning their left is to our left, and their right is to our right.
We are given that X is to the left of Y, and Z is not at the left end. For the three North-facing positions from left to right, this means: Left: X Middle: Y Right: Z
Next, X is directly in front of A, which places A opposite X. This means A is at the leftmost position of the South-facing row from our perspective (which is the right position from the perspective of the South-facing row).
We are also told that Z is not facing C. Since Z is at the right end, C must be in the middle (opposite Y), which leaves B to be placed at the right end (opposite Z). This gives the arrangement of the South-facing row from left to right from our perspective as: Left: A Middle: C Right: B
This means that A and X both occupy the leftmost position of their respective rows from our perspective, making A and X the correct pair representing these end positions.
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Answer: (A) i, iv, ii, iii, v
Explanation
To arrange the words in alphabetical order as they would appear in a dictionary, we compare them letter by letter:
All five words start with the prefix Drama. Since Drama (i) has no letters following it, it appears first in the sequence.
The remaining words are Dramatical (ii), Dramaticism (iii), Dramality (iv), and Dramatise (v). Comparing the sixth letter of these words: In Dramality (iv), the sixth letter is l. In Dramatical (ii), Dramaticism (iii), and Dramatise (v), the sixth letter is t. Since l comes before t, Dramality (iv) is second in the sequence.
Now, comparing the remaining words starting with Dramat: In Dramatical (ii) and Dramaticism (iii), the eighth letter is c. In Dramatise (v), the eighth letter is s. Since c comes before s, both Dramatical (ii) and Dramaticism (iii) come before Dramatise (v), which places Dramatise (v) last in the sequence.
Finally, comparing Dramatical (ii) and Dramaticism (iii) at the ninth letter: In Dramatical (ii), the ninth letter is a. In Dramaticism (iii), the ninth letter is i. Since a comes before i, Dramatical (ii) comes before Dramaticism (iii).
Combining these steps, the exact alphabetical sequence is Drama (i), Dramality (iv), Dramatical (ii), Dramaticism (iii), and Dramatise (v).
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Answer: (C) EGFCGXK
Explanation
To decode the pattern, the 7-letter word is split into three parts: the first three letters, the middle letter, and the last three letters.
For GASTRIC: First three letters: GAS Middle letter: T Last three letters: RIC
Applying the logic:
The first three letters (GAS) are reversed to SAG, and then each letter is shifted forward by 2 positions (+2): S + 2 = U A + 2 = C G + 2 = I This yields UCI.
The middle letter (T) is shifted backward by 2 positions (-2): T - 2 = R This yields R.
The last three letters (RIC) are reversed to CIR, and then each letter is shifted forward by 2 positions (+2): C + 2 = E I + 2 = K R + 2 = T This yields EKT.
Combining these parts gives UCIREKT.
Now, applying the same pattern to DECEIVE: First three letters: DEC Middle letter: E Last three letters: IVE
The first three letters (DEC) are reversed to CED, and then each letter is shifted forward by 2 positions (+2): C + 2 = E E + 2 = G D + 2 = F This yields EGF.
The middle letter (E) is shifted backward by 2 positions (-2): E - 2 = C This yields C.
The last three letters (IVE) are reversed to EVI, and then each letter is shifted forward by 2 positions (+2): E + 2 = G V + 2 = X I + 2 = K This yields GXK.
Combining these parts gives EGFCGXK.
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Answer: (D) 2
Explanation
The pattern followed in each column of the grid is: (Row 1 + Row 2) / Row 3 = Row 4
Applying this formula to each column:
For the first column: (9 + 6) / 3 = 15 / 3 = 5
For the third column: (5 + 7) / 3 = 12 / 3 = 4
For the second column: (8 + 6) / ? = 7 14 / ? = 7 ? = 14 / 7 = 2
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Answer: (C) x and +, 8 and 4
Explanation
Applying the interchanges of swapping the signs × and + and the numbers 8 and 4, the original equation undergoes the following transformation:
Original equation: 8 × 6 + 4 = 52
After substituting 4 in place of 8, 8 in place of 4, + in place of ×, and × in place of +: 4 + 6 × 8 = 52
According to the BODMAS rule, multiplication is performed before addition. First, we multiply 6 and 8: 6 × 8 = 48
Next, we add 4 to the product: 4 + 48 = 52
This yields 52 on both sides of the equation, making it mathematically correct.
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Answer: (A) abcbc
Explanation
The series is formed by the repetition of the five-letter pattern accab.
Dividing the series into three groups of five letters each: _ c c a _ | a _ c a _ | a c _ a b
Placing the letters from the option abcbc into the gaps sequentially: a c c a b | a c c a b | a c c a b
This completes the repeating pattern accab, accab, accab.
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Answer: (B) William Shakespeare
Explanation
The analogy pairs a famous literary work with its author. The Time Machine is a science fiction novella written by H. G. Wells. Similarly, Julius Caesar is a renowned historical play and tragedy written by the English playwright William Shakespeare.
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Answer: (C) At point A
Explanation
The movement of Ram forms a closed square path where each turn is at a right angle and each segment is of equal length. Starting at point A, Ram moves 100m North-East. Turning South-East represents a 90-degree clockwise turn, and he covers 100m along this direction. Turning South-West represents another 90-degree clockwise turn, where he covers 100m. Finally, turning North-West is another 90-degree clockwise turn, covering 100m. Since all four segments are exactly 100m and the successive turns are all at 90 degrees, the path completes a perfect square, bringing him back exactly to the starting position.
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Answer: (A) TRE
Explanation
The relationship in the first pair SAP : WET is established by adding 4 to the alphabetical position of each letter:
S (19) + 4 = W (23) A (1) + 4 = E (5) P (16) + 4 = T (20)
Applying the same logic to find the missing word that relates to XVI, we subtract 4 from the alphabetical position of each letter in XVI:
X (24) - 4 = T (20) V (22) - 4 = R (18) I (9) - 4 = E (5)
This gives the letters TRE.
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Answer: (D) FE
Explanation
The relationship between the letter pairs is based on opposite alphabetical positions, where the sum of the numerical ranks of corresponding letters from the beginning and the end of the alphabet is 27.
In the first pair LK : OP: The opposite of L (12th letter from start) is O (15th letter from start, since 12 + 15 = 27). The opposite of K (11th letter from start) is P (16th letter from start, since 11 + 16 = 27).
Applying the same logic to find the pair corresponding to UV: The opposite of U (21st letter from start) is F (6th letter from start, since 21 + 6 = 27). The opposite of V (22nd letter from start) is E (5th letter from start, since 22 + 5 = 27).
This gives the preceding pair FE.
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Answer: (C) 74
Explanation
The relationship between the numbers in each pair follows the pattern: (First number × 3) + 2 = Second number
Applying this to the first pair: (16 × 3) + 2 = 48 + 2 = 50
Applying the same logic to the second pair: (24 × 3) + 2 = 72 + 2 = 74
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Answer: (D) Bhubaneshwar
Explanation
Bhubaneshwar is the only city among the given choices that is not a major port city of India, as it is located inland.
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Answer: (D) olr
Explanation
In the groups eno, iqa, and ubu, the first and last letters are vowels, while the middle letter is a consonant. In olr, the last letter r is a consonant, making it the odd one out as it does not follow the pattern of having vowels at both ends.
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Answer: (C) 5632
Explanation
The number 5632 is the odd one out because the sum of its digits is 16 (5 + 6 + 3 + 2 = 16), which is not divisible by 9, whereas the sum of the digits for all the other given numbers is exactly 18, making them completely divisible by 9.
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Answer: (A) 308
Explanation
Among the numbers 108, 288, and 240, each is perfectly divisible by 3 because the sum of their digits is a multiple of 3: 1 + 0 + 8 = 9 2 + 8 + 8 = 18 2 + 4 + 0 = 6
For 308, the sum of the digits is 3 + 0 + 8 = 11, which is not divisible by 3.
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Answer: (C) Straight angle
Explanation
The given sequence represents different types of angles arranged in ascending order of their degree measures. An acute angle measures between 0° and 90°, a right angle measures exactly 90°, and an obtuse angle measures between 90° and 180°. Continuing this increasing order of magnitude, the next category is an angle measuring exactly 180°, which is defined as a straight angle.
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Answer: (A) BC
Explanation
The series follows a pattern where the position of each letter in the English alphabet is incremented by 5 to obtain the corresponding letter of the next term.
The position values of the letters in the first term RS are 18 and 19. Adding 5 to these positions gives 23 and 24, which correspond to the letters W and X, forming the second term WX. Adding 5 to the positions of W (23) and X (24) gives 28 and 29. Since the alphabet wraps around after 26 letters, 28 corresponds to B (28 - 26 = 2) and 29 corresponds to C (29 - 26 = 3), forming the missing term BC. Adding 5 to the positions of B (2) and C (3) yields 7 and 8, which correspond to the letters G and H, forming the final term GH.
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Answer: (A) XWV
Explanation
In each group of three letters the letters run backward by one step, and the starting letter of each new group shifts back by an amount that itself grows by one each time: V to O is a drop of 7, and O to G is a drop of 8, so G to the next group should drop by 9, landing on X. Writing that group backward from X gives X, W, V. This matches the option XWV.
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Answer: (D) 33, 99, 04, 59, 43
Explanation
The word to be identified is LIGHT. Using the given matrices where a letter is represented first by its row number and then by its column number, we decode the corresponding set of numbers:
For the letter L, Row 3 and Column 3 of Matrix-I gives 33. For the letter I, Row 9 and Column 9 of Matrix-II gives 99. For the letter G, Row 0 and Column 4 of Matrix-I gives 04. For the letter H, Row 5 and Column 9 of Matrix-II gives 59. For the letter T, Row 4 and Column 3 of Matrix-I gives 43.
The sequence of numbers 33, 99, 04, 59, 43 represents the word LIGHT.
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Answer: (D) 94
Explanation
The series follows a pattern where each term is obtained by multiplying the previous term by 2 and adding 2.
The mathematical steps for the progression are: 10 × 2 + 2 = 22 22 × 2 + 2 = 46 46 × 2 + 2 = 94
Alternatively, the difference between consecutive terms doubles at each step. The difference between 22 and 10 is 12, and the difference between 46 and 22 is 24, which is 12 × 2. Following this logic, the next difference must be 24 × 2 = 48. Adding this difference to the third term yields 46 + 48 = 94.
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Answer: (D) Only conclusion I follows
Explanation
The second statement establishes that industrialization is a major driver of rising water pollution. Industrial activities naturally generate waste and slurries, and their disposal into adjacent water bodies directly leads to pollution, which makes Conclusion I a direct logical deduction from the given statements.
Conclusion II is a prescriptive advisory or course of action regarding what future generations need to think about. Statement II merely states the lack of a sustainable approach as a factual cause of the present pollution. It does not provide any grounds for moral recommendations or future directives, meaning Conclusion II does not logically follow.
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